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OALib Journal期刊
ISSN: 2333-9721
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Asymptotically Lacunary Statistical Equivalent Sequences of Fuzzy Numbers

Keywords: Asymptotically equivalent , lacunary sequence , fuzzy numbers.

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Abstract:

In this article we present the following definition which is natural combination of the definition for asymptotically equivalent and lacunary statistical convergence of fuzzy numbers. Let =(k_{r}) be a lacunary sequence. The two sequnces X = (X_{k}) and Y=(Y_{k}) of fuzzy numbers are said to be asymptotically lacunary statistical equivalent to multiple L provided that for every >0lim_{r}(1/(h_{r}))|{k∈I_{r}:d(((X_{k})/(Y_{k})),L)≥}|=0.

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